312101010121 has 2 divisors, whose sum is σ = 312101010122. Its totient is φ = 312101010120.

The previous prime is 312101010101. The next prime is 312101010149. The reversal of 312101010121 is 121010101213.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 189604510096 + 122496500025 = 435436^2 + 349995^2 .

It is a cyclic number.

It is not a de Polignac number, because 312101010121 - 2⁹ = 312101009609 is a prime.

It is not a weakly prime, because it can be changed into another prime (312101010101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156050505060 + 156050505061.

It is an arithmetic number, because the mean of its divisors is an integer number (156050505061).

Almost surely, 2^312101010121 is an apocalyptic number.

It is an amenable number.

312101010121 is a deficient number, since it is larger than the sum of its proper divisors (1).

312101010121 is an equidigital number, since it uses as much as digits as its factorization.

312101010121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 312101010121 its reverse (121010101213), we get a palindrome (433111111334).

It can be divided in two parts, 3 and 12101010121, that multiplied together give a palindrome (36303030363).

The spelling of 312101010121 in words is "three hundred twelve billion, one hundred one million, ten thousand, one hundred twenty-one".